Simplify Square Root of 2180

Here we will show you step-by-step how to simplify the square root of 2180. The square root of 2180 can be written as follows:


	√	2180

The √ symbol is called the radical sign. To simplify the square root of 2180 means to get the simplest radical form of √2180.

Step 1: List Factors
List the factors of 2180 like so:

1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4

Step 3: Divide
Divide 2180 by the largest perfect square you found in the previous step:

2180 / 4 = 545

Step 4: Calculate
Calculate the square root of the largest perfect square:

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 2180 in its simplest form:


2	√	545

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Decimal Form
Square Root of 2180 in Decimal form rounded to nearest 5 decimals:

46.69047

Exponent Form
Square Root of 2180 written with Exponent instead of Radical:

2180^½ = 2 x 545^½

Simplify Square Root of 2181
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* List of Perfect Squares